ENGLISH

Analysis on Lie Groups with Polynomial Growth

By Nick Dungey , A. F. M. ter Elst , Derek W. Robinson (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2003
ISBN
0817632255, 9783764332259, 9780817632250, 3764332255
DOI
10.1007/978-1-4612-2062-6
Open Library ID
OL8074297M
Language
english
Format
PDF
Filesize
4 MB (4688959 bytes)
Series
Progress in Mathematics 214
Edition
1
Pages
312\322
Scanned
yes
Time added
2010-06-26 00:49:36
Lie Groups; Global Analysis and Analysis on ManifoTopological Groups

Description

Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.

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